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Three-body continuum discretization in a basis of transformed harmonic oscillator states

2005/05/31 by M. Rodriguez-Gallardo, M. Rodríguez-Gallardo, J. M. Arias +5 · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #Nuclear physics research studies #Quantum, superfluid, helium dynamics #nucl-th

paper · pdf · doi:10.1103/physrevc.72.024007

published as Phys.Rev. C72 (2005) 024007 · 12 figures, submitted to PRC

arxiv created 2005/05/31 · openalex publication_date 2005/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The inclusion of the continuum in the study of weakly bound three-body systems is discussed. A transformed harmonic oscillator basis is introduced to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum. As examples of the application of the method the strength functions corresponding to several operators that couple the ground state to the continuum are investigated, for 6He, and compared with previous calculations. It is found that the energy moments of these distributions are accurately reproduced with a small basis set.

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